Question
Download Solution PDFयदि 4x/3 + [3(7x - 5/8)]/5 = 19/60 है, तो x का मान कितना होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
(4x/3) + [3(7x - 5/8)]/5 = 19/60
प्रयुक्त सूत्र:
कोष्ठक और भिन्नों को सरल करते हैं, फिर रैखिक समीकरण को हल करते हैं।
गणना:
कोष्ठक को हल करते हैं।
3(7x − 5/8) = 21x − 15/8
अब समीकरण बन जाता है:
(4x/3) + (21x − 15/8)/5 = 19/60
(4x/3) + (21x/5 − 15/(8×5)) = 19/60
⇒ (4x/3) + (21x/5) − (15/40) = 19/60
⇒ (4x/3) + (21x/5) = 19/60 + 15/40
60 और 40 का LCM = 120
⇒ RHS = (19 × 2 + 15 × 3)/120 = (38 + 45)/120 = 83/120
3 और 5 का LCM = 15
(4x/3 + 21x/5) = (20x + 63x)/15 = 83x/15
अब समीकरण:
83x/15 = 83/120
⇒ x = (83/120) × (15/83) = 15/120 = 1/8
∴ x का मान 1/8 है।
Last updated on Mar 12, 2025
-> The MP Police Constable 2023 Final Merit List has been out on 12th March 2025.
-> MP Police Constable 2025 Notification will soon be released on the official website.
-> The The Madhya Pradesh Professional Examination Board (MPPEB) will announce more than 7500 Vacancies for the post of constable.
-> Previously, the notification had invited eligible candidates to apply for 7,090 constable posts.
-> Candidates who have passed 10th or 12th are eligible to apply.
-> The final candidates selected will receive a salary between 19,500 and 62,600 INR.